Elementary theory

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This item is sold brand new. It is ordered on demand from our supplier and is usually dispatched within 7 - 12 working days Several optical phenomena can occur when the sun is near the horizon, some of which can actually be seen, for instance as a dark strip in the middle of the solar disk, or as a green flash. These are a result of the way the atmosphere affects the geometry of light rays. In this book, Broer uses the Fermat principle to deduce laws for refraction and reflection. By expressing these as conservation laws, he can handle both the case of inhomogeneous layers of air and the case of continuous variation in the refraction index. Building from this elementary theory, more advanced mathematical theories are discussed, including how the Fermat Principle leads to a Riemannian metric whose geodesics are the paths of light rays, thus demonstrating the physical applicability of Riemannian geometry. Intended for teachers and professors to enlighten their courses, or for students and researchers in mathematics, science and engineering. Features Summary Dealing with optical phenomena near the horizon, this book is intended for all levels, including teachers, students and researchers. Author Henk Broer Publisher Mathematical Association of America Release date 20161230 Pages 150 ISBN 0-88385-142-3 ISBN 13 978-0-88385-142-5

This item is sold brand new. It is ordered on demand from our supplier and is usually dispatched within 7 - 11 working days This volume is designed to cultivate in graduate biology students an awareness of and familiarity with applications of mathematical techniques and methods related to biology. This text explores five areas of mathematical biology, presented in a unified fashion: the first three subjects, cell growth, enzymatic reactions, and physiological tracers, are biological; the final two, biological fluid dynamics and diffusion, are biophysical. Introduced in an order of progressive mathematical complexity, the topics essentially follow a course in elementary differential equations, although linear algebra and graph theory are also touched upon. Free of mathematical jargon, the text requires only a knowledge of elementary calculus. A set of problems appears at the end of each chapter, with solutions at the end of the book. Unabridged republication of the edition published by John Wiley & Sons, New York, 1975. Preface. Solutions. References. Appendixes. Author Index. Subject Index. Features Summary Designed to explore the applications of mathematical techniques and methods related to biology, this text explores five areas: cell growth, enzymatic reactions... Author S.Isaac Rubinow Publisher Dover Publications Inc. Release date 20030113 Pages 400 ISBN 0-486-42532-0 ISBN 13 978-0-486-42532-0

This item is sold brand new. It is ordered on demand from our supplier and is usually dispatched within 8 - 15 working days This best-selling text addresses all aspects of classroom life, including the roles of children and adults, the physical and social environments, and teaching and learning within multiple domains for children age three to eight. It provides a comprehensive, cohesive approach to curriculum development, which results in greater continuity for children and practitioners in group settings in childcare, preschool, and the early elementary grades. Concentrating as much on the "how" of curriculum development as on the "what and why," the authors provide practical, research-based guidelines for translating theory into best practice that accommodates age-appropriateness, individual differences, and social and cultural diversity. Students learn how to conceptualize, plan, implement, and evaluate curriculum through detailed application opportunities in each chapter. Features Summary This best-selling text addresses all aspects of classroom life, including the roles of children and adults, the physical and social environments, and teaching and learning within multiple domains for children age three to eight... Author Marjorie J Kostelnik (Author), Anne K. Soderman (Author), Alice P. Whiren (Author) Publisher Pearson Education Limited Release date 20131101 Pages 456 ISBN 1-292-04165-X ISBN 13 978-1-292-04165-0